Horizontal vector fields and Seifert fiberings

TL;DR

This paper classifies the topology of vector fields that are nowhere tangent to Seifert fiberings, providing insights into their structure and properties.

Contribution

It offers a new classification of vector fields relative to Seifert fiberings, advancing understanding of their topological behavior.

Findings

Classification of vector fields relative to Seifert fiberings

Topological properties of such vector fields

Insights into fibered 3-manifolds

Abstract

This paper gives a classification of the topology of vector fields which are nowhere tangent to the fibers of a Seifert fibering.